On the upper semicontinuity of pullback attractors with applications to plate equations

Yonghai Wang

doi:10.3934/cpaa.2010.9.1653

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2010, Volume 9, Issue 6: 1653-1673. Doi: 10.3934/cpaa.2010.9.1653

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On the upper semicontinuity of pullback attractors with applications to plate equations

Yonghai Wang^1,

1.
Department of Applied Mathematics, Donghua University, Shanghai, Songjiang, 201620

Received: December 31, 2009

Revised: March 31, 2010

Published: October 2010

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Abstract

In this paper, we give a technic method for verifying the upper semicontinuity of pullback attractors of dynamical systems under small nonautonomous perturbations. The method we give is suitable, in some sense, for weakly dissipative dynamical systems. And, we apply our result to plate equations.

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Mathematics Subject Classification: 37L05, 35B40, 35B41.

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